Pythagorean Theorem Solve for the Unknown

Which set of lengths could be the side lengths of a right triangle?

• 20 cm, 22 cm, 29 cm

• 10 ft, 12 ft, 15 ft

• 7 km, 24 km, 28 km

• 13 in., 84 in., 85 in.

A right triangle has a side length that measures 4 m and a hypotenuse that measures 8.5 m. What is the measure of the other side of the triangle?

• 7.5 m

• 8.1 m

• 9.4 m

• 9.8 m

How long is the diagonal of a 12 ft-by-16 ft rectangular garden?

• 6 ft.

• 14 ft.

• 18 ft.

• 20 ft.

The length of the hypotenuse of a right triangle is 34 inches and the length of one of its legs is 16 inches. What is the length, in inches, of the other leg of this right triangle?

• 16 inches

• 18 inches

• 25 inches

• 30 inches

Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards, as shown in the diagram below.

What is the length of the diagonal, in yards, that Tanya runs?

• 50 yards

• 60 yards

• 70 yards

• 80 yards

Find the length of the unknown side. Round your answer to the nearest tenth.

• 20 cm

• 400 cm

• 10 cm

• 29.2 cm

A large pine tree was struck by lightning and fell as shown by the diagram below. Which equation could be used to find the length of the fallen part of the tree?

• 8² + 13² = x

• 
• 13² - 8² = x

• 

Find the area of the smallest side of the right triangle.

• 25 ft.

• 5 ft.

• 313 ft.

• 13 ft.

The length of two sides of a right triangle are leg: 9 m and hypotenuse: 16 m. Find the length of the third side. Round to the nearest tenth if necessary.

• 28.8 m

• 13.2 m

• 104 m

• 14.4 m

Find the length of the unknown side. Round your answer to the nearest tenth.

• 13.5 ft.

• 1 ft.

• 4.4 ft.

• 19 ft.